Решите систему уравнений. Ответ должен быть (-8; -7), нужно само решение.[tex] \left \{ {{ \frac{x}{y - 1}+ \frac{y - 1}{x} = 2 } \atop {2x - 3y = 5}} \right. [/tex]
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A=x/(y-1)1/a=(y-1)/x
a + (1/a)=2
a≠0
a² -2a+1=0
(a-1)² =0
a-1=0
a=1
x/(y-1)=1
x=y-1
2(y-1)-3y=5
2y-2-3y=5
-y=5+2
y= -7
x= -7-1
x= -8
Ответ: (-8; -7).
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